کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4634226 | 1340688 | 2008 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The construction of rational iterative methods for solving nonlinear equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this paper, based on the idea of constructing iterative methods by Sharma [J.R. Sharma, A family of third-order methods to solve nonlinear equations, Appl. Math. Comput. 184 (2007) 210–215], Jiang and Han [Dongdong Jiang, Danfu Han, Some one-parameter families of third-order methods for solving nonlinear equations, Appl. Math. Comput. 195 (2008) 392–396], we propose some rational iterative methods by linearizing the quadratic curve equation. By analysis of asymptotic errors, we prove the new families are all cubically convergent. As an example, we present a new concrete iterative family with better convergent performance than classic third-order methods through the adjustment of parameter λnλn automatically.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 204, Issue 2, 15 October 2008, Pages 802–808
Journal: Applied Mathematics and Computation - Volume 204, Issue 2, 15 October 2008, Pages 802–808
نویسندگان
Dongdong Jiang, Danfu Han,